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- W1967863240 abstract "In this paper, we introduce and analyze local discontinuous Galerkin methods for the Stokes system. For a class of shape regular meshes with hanging nodes we derive a priori estimates for the L2 -norm of the errors in the velocities and the pressure. We show that optimal-order estimates are obtainedwhen polynomials of degree k are used for each component of the velocity and polynomials of degree k-1 for the pressure, for any $kge1$. We also consider the case in which all the unknowns are approximated with polynomials of degree k and show that, although the orders of convergence remain the same, the method is more efficient. Numerical experiments verifying these facts are displayed." @default.
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- W1967863240 date "2002-01-01" @default.
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- W1967863240 title "Local Discontinuous Galerkin Methods for the Stokes System" @default.
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- W1967863240 doi "https://doi.org/10.1137/s0036142900380121" @default.
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